Geodesic
An optimal one-impulse correction in a~model
Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 4, pp. 708-714

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A rectilinear and uniform motion with an unknown random initial velocity is considered. The observer exactifies the trajectory of the motion by a finite set of trajectory measurements containing random errors. The terminal coordinates may be influenced by one and only one corrective impulse. We say that there is a success if the terminal coordinates of the trajectory belong to a fixed domain. A strategy is a rule which prescribes the time and the value of a corrective impulse to every sample of the trajectory measurements. A probability of “success” corresponds to every strategy. A strategy is constructed which maximizes this probability. There is a numerical example in the paper. 
@article{TVP_1966_11_4_a11,
     author = {V. A. Ryasin},
     title = {An optimal one-impulse correction in a~model},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {708--714},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {1966},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1966_11_4_a11/}
}
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V. A. Ryasin. An optimal one-impulse correction in a~model. Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 4, pp. 708-714. http://geodesic.mathdoc.fr/item/TVP_1966_11_4_a11/